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Finding the Third Proportional to 1,299,160,713 and 3,031,479,703

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Solution

The third proportional to 1,299,160,713 and 3,031,479,703 is: 7,073,696,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,160,713 : 3,031,479,703 = 3,031,479,703 : x
  2. Step 2: Convert to fraction form
    1,299,160,713/3,031,479,703 = 3,031,479,703/x
  3. Step 3: Cross multiply
    1,299,160,713x = 3,031,479,703 × 3,031,479,703
  4. Step 4: Simplify right side
    1,299,160,713x = 9,189,869,189,700,968,448
  5. Step 5: Solve for x
    x = 9,189,869,189,700,968,448/1,299,160,713
  6. Step 6: Final answer
    x = 7,073,696,962.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.